If (x,y) satisfies the simultaneous equations \(3xy - 4x^2 - 36y + 48x = 0, x^2 - 2y^2 = 16\), where x and y may be complex numbers, determine all possible values of y^2.
The only solutions (x,y) are (12,8) and (12,-8), so y^2 = 64.
+52 
